Question

Solve the following systems of equations graphically:
x – 2y = 6
3x – 6y = 0

Answer 1

Concept :

To draw the graph of a linear equation in two variable a series of steps to be followed which is given below:

• Step I:Obtain the linear equation.  Let the equation be  ax + by + c = 0
• Step II: Express one unknown quantity in terms of other here. Express y in terms of x to get y = - (ax + c /b)
• Step III: For any two values of x, calculate the corresponding values of y  from the expression in step II to obtain two solutions say (x1, y1 and( x2 ,y2)
• Step IV: plot the points  (x1, y1 and( x2 ,y2)  on graph paper on a suitable scale.
• Step V:Draw a  line passing through points marked in step IV. The line so obtained is the graph of the equation  ax + by + c = 0  

 

Given:  

x – 2y = 6

3x – 6y = 0

 

Solution :

x – 2y = 6 passes through (6, 0) and (0, -3)

3x – 6y = 0 passes through origin (0,0) .

Table and the Graph of the given  systems of equations are  in the  attachment below.  

Both lines are parallel to each other,  Hence the given system has no solution.

Hope this answer will help you…

 

Some more questions from this chapter :  

Solve the following systems of equations graphically:

x + y = 3

2x + 5y = 12

brainly.in/question/15918168

 

Solve the following systems of equations graphically:

x-2y=5

2x+3y=10

https://brainly.in/question/15918170

Answer 2

Answer:

Everything is given above Follow it